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Finding the Fourth Proportional to 486.28, 667.29 and 442.28

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Solution

The fourth proportional to 486.28, 667.29 and 442.28 is: 606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.28 : 667.29 = 442.28 : x
  2. Step 2: Convert to fraction form
    486.28/667.29 = 442.28/x
  3. Step 3: Cross multiply
    486.28x = 667.29 × 442.28
  4. Step 4: Simplify right side
    486.28x = 295,129.02
  5. Step 5: Solve for x
    x = 295,129.02/486.28
  6. Step 6: Final answer
    x = 606.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.